49800 has 48 divisors (see below), whose sum is σ = 156240. Its totient is φ = 13120.

The previous prime is 49789. The next prime is 49801. The reversal of 49800 is 894.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49800.

It is not an unprimeable number, because it can be changed into a prime (49801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559 + ... + 641.

It is an arithmetic number, because the mean of its divisors is an integer number (3255).

2⁴⁹⁸⁰⁰ is an apocalyptic number.

49800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

49800 is an abundant number, since it is smaller than the sum of its proper divisors (106440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49800 is a wasteful number, since it uses less digits than its factorization.

49800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 49800 is about 223.1591360442. The cubic root of 49800 is about 36.7911289266.

The spelling of 49800 in words is "forty-nine thousand, eight hundred".